# A lady starts from her house with some money to visit four Churches.

+1 vote
918 views

A lady starts from her house with some money to visit four Churches.

1. As soon as she enters Church1 her money gets doubled. She donates \$100 and moves.
2. At Church2 again her money is doubled and she donates \$100.
3. Her money is doubled again at Church3 and she donates \$100.
4. At Church4 again her money gets doubled. She donates \$100 again and returns home empty handed…

How much money she had when she started from her house???

posted Sep 7, 2015

93.75
Money after Church 1: 187.5-100 = \$87.5
Money after church 2: 175-100 = \$75
Money after church 3: 150-100 = \$50
Money after church 4: 100-100 = 0

answer Sep 7, 2015

Suppose the lady has \$X . Initially.
When she went to first church, her money gets doubled. So she has \$2X ,of which she donated \$100 .

So before going to 2nd church she has \$(2x-100)
Similarlly, in 2nd church doubled money will be 2(2x-100), after donating \$100, She left with \$(4x-300)
In 3rd church doubled money will be 2(4x-300), after donating \$100, remaining money is \$(8x-700)
In 4th church again doubled money will be 2(8x-700),after donating \$100, the money left is \$(16x-1500)=0
hence, 16x=1500,so x=\$93.75

So initially she has \$93.75

answer Sep 9, 2015

Similar Puzzles

A lady starts from her house with some money to visit four Churches.

1. As soon as she enters Church1 her money gets doubled. She donates \$100 and moves.

2. At Church2 again her money is doubled and she donates \$100.

3. Her money is doubled again at Church3 and she donates \$100.

4. At Church4 again her money gets doubled. She donates \$100 again and returns home empty handed…

How much money she had when she started from her house???

+1 vote

A rich old lady died and left all her money to her grandchildren and her children.
At the end of the will she stated that she had one last thing to give away: her precious diamond.
She gave a clue to where it might be.
She said "it's in a cylinder surrounded by a thousand squares."
One grandchild said, "I know where it is," and found it.
Where was it?